具有Logistic源的三维趋化模型解的大时间行为

Large Time Behavior for a Three-Dimensional Chemotaxis System with Logistic Source

本文研究了一类在全空间R3上具有奇性和Logistic源项的趋化模型解的大时间行为,并得到了解 的衰减估计。 通过一类Cole-Hopf变换,将有奇性的趋化模型变换成无奇性的趋化模型。 然后采 用能量估计的方法得到变换后模型的全局解的衰减估计。

In this paper, we study the large time behavior of a singular chemotaxis system with logistic source in three dimensional whole spaces and obtain the decay estimates for the solutions. The singular chemotaxis is converted to a non-singular hyperbolic system by a Cole-Hopf type transformation. Then the decay estimates of the global solutions of the transformed system are established by using the method of energy estimates.